A serial, parallel and vectorised version of PLDM dynamics has been implemented. The serial version uses numba to get speedup of a compiled language. The parallel version uses mpi4py to utilise the multiprocessing capability of HPC clusters. The vectorised version uses a wide variety of GPU libraries (cuda, cupy, pytorch) to highly vectorise PLDM.

A console application that outputs multiple-angle formulas and trigonometric identities given the multiplier and a specific format.

When life gives you intractable value functions, use Chebyshev Interpolation

Jacobi, Gegenbauer, Chebyshev of first, second, third, fourth kind, Legendre, Laguerre, Hermite, shifted Chebyshev and Legendre polynomials

A C++ implementation of SK-tau-ROCK methods

This repo specifically contains all the numerical experiments conducted during my MS-Thesis Project sharing the same title. Major languages used in the span of this project are Python, Matlab and Mathematica. The code files are well-commented and are the codes self-explanatory.

Various Numerical Analysis algorithms for science and engineering.

Chebyshev-proxy Rootfinding based on J. Boyd (2013 and 2014). This repository is intended for educational use and isn't really a standalone package; however, the implementation may be enlightening for someone wishing to reimplement the CPR algorithm.

Orthogonal polynomials for optics analysis

We, a team of students, recently completed a series of projects as part of our numerical analysis course. These projects involved the application of various numerical methods to solve mathematical problems and analyze the results. Through these projects, we gained a deeper understanding of the concepts covered in the course and honed our skills in

Noise- and Outlier-Robust Fourier Transform with Hermite Functions with NumPy and Numba

A trial numpy chebyshev polynomials expansion to a fragment of music signal. A trial ARMA Spectral density power estimation.

C++ template project provides a flexible way to work with polynomials and calculate their real roots.

Digital signal processing library including: polynomial fitting, filtering, etc. Where possible API facilitates real-time applications

Third project for DisCont Mathematics 2 @ FER

The Weierstrass method for finding all roots of the Chebyshev polynomial of the first order.

Supplemental materials to a scientific paper on the computation of Quasinormal Modes in a non-commutative model for Schwarzschild black holes

Raku package for functionalities based on Chebyshev polynomials.

Chebyshev Polynomial Software for Elliptic-Parabolic Systems of PDEs